A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car
1 answer:
Answer: There are 60 ways that they can travel to the concert.
Step-by-step explanation:
Since we have given that
Number of people want to go to a concert = 12
Number of cars = 3
Number of drivers in the group = 5
So, using the "Fundamental theorem of counting":
We get that
Hence, there are 60 ways that they can travel to the concert.
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Answer:
(a) The value of P (X ≤ 2) is 0.8729.
(b) The value of P (X ≥ 5) is 0.0072.
(c) The value of P (1 ≤ X ≤ 4) is 0.7154.
(d) The probability that none of the 25 boards is defective is 0.2774.
(e) The expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of defective boards.
The probability that a circuit board is defective is, <em>p</em> = 0.05.
The sample of boards selected is of size, <em>n</em> = 25.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The probability mass function of <em>X</em> is:
(a)
Compute the value of P (X ≤ 2) as follows:
P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)
Thus, the value of P (X ≤ 2) is 0.8729.
(b)
Compute the value of P (X ≥ 5) as follows:
P (X ≥ 5) = 1 - P (X < 5)
Thus, the value of P (X ≥ 5) is 0.0072.
(c)
Compute the value of P (1 ≤ X ≤ 4) as follows:
P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)
Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.
(d)
Compute the value of P (X = 0) as follows:
Thus, the probability that none of the 25 boards is defective is 0.2774.
(e)
Compute the expected value of <em>X</em> as follows:
Compute the standard deviation of <em>X</em> as follows:
Thus, the expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.
Answer:
The tables are given below and
since,
so, Noah's mixture will taste more like orange, than Andre's mixture.
Step-by-step explanation:
To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water, Andre mixes 5 scoops of powder with 8 cups of water.
so, can construct the following tables -
A) table that shows different amounts of powder and water that taste the same as Noah's mixture :-
Serial no. Powder in scoops cups of water
1 8 12
2 12 18
3 16 24
4. 20 30
5. 24 36
B) table that shows different amounts of powder and water that taste the same as Andre 's mixture :-
Serial no. Powder in scoops cups of water
1 10 16
2 15 24
3 20 32
4. 25 40
5. 30 48
C) Since,
so, Noah's mixture wili taste more like orange, than Andre's mixture.